Fluctuation Conductivity in Insulator-Superconductor Transitions with Dissipation

Abstract

We analyze here the fluctuation conductivity in the vicinity of the critical point in a 2D Josephson junction array shunted by an Ohmic resistor.We find that at the Gaussian level, the conductivity acquires a logarithmic dependence on $T/(T-T_c)$ when the dissipation is sufficiently small. In the renormalized classical regime, this logarithmic dependence gives rise to a leveling-off of the resistivity at low to intermediate temperatures when fluctuations are included. We show, however, that this trend does not persist to T=0 at which point the resistivity vanishes. The possible relationship of the leveling of the resistivity to the low temperature transport in granlar superconductors is discussed.

4 pages

Cited by in corpus (28)

• Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
• The Elusive Bose Metal
• Universal conductance of nanowires near the superconductor-metal quantum transition
• True Superconductivity in a 2D "Superconducting-Insulating" System
• A Phase Glass is a Bose Metal: New Conducting State in 2D
• Superconductor-to-Metal Transitions in Dissipative Chains of Mesoscopic Grains and Nanowires
• Zero-temperature d-wave superconducting phase transition
• Interaction-induced Bose Metal in 2D
• Unusual Field-Dependence of the Intragrain Superconductive Transition in RuSr2EuCu2O8
• Vortex Glass is a Metal: Unified Theory of the Magnetic Field and Disorder-Tuned Bose Metals
• Anomalous quantum metal in a 2D crystalline superconductor with intrinsic electronic non-uniformity
• Nonlinear Transport Near a Quantum Phase Transition in Two Dimensions
• Dissipation and quantum phase transitions of a pair of Josephson junctions
• Dissipative Diamagnetism -- A Case Study for Equilibrium and Nonequilibrium Statistical Mechanics of Mesoscopic Systems
• Bose Metal as a Disruption of the Berezinskii-Kosterlitz-Thouless Transition in 2D Superconductors
• Thermally fluctuating superconductors in two dimensions
• Granulated superconductors:from the nonlinear sigma model to the Bose-Hubbard description
• Absence of Phase Stiffness in the Quantum Rotor Phase Glass
• Dissipative and nonequilibrium effects near a superconductor-metal quantum critical point
• Crossover and scaling in a two-dimensional field-tuned superconductor
• Fluctuation Conductivity in Unconventional Superconductors near Critical Disorder
• Transport Properties near the z=2 Insulator-Superconductor Transition
• Current dependent fluctuations in a Bi${}_2$Sr${}_2$CuO${}_{6+\delta }$ thin film
• Hall Conductivity near the z=2 Superconductor-Insulator Transition in 2D
• Vanishing Hall Conductance in the Phase Glass Bose Metal at Zero Temperature
• Magneto-transport Properties near the Superconductor-Insulator Transition in 2D
• Not Just a Phase: Bose Metal Unveiled
• Suppression of superfluidity by dissipation -- An application to failed superconductor